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11210112001200 = 24352719409171733
BaseRepresentation
bin1010001100100000111010…
…1111100110010010110000
31110200200020222110020200210
42203020032233212102300
52432131302133014300
635501504312544120
72234622011550360
oct243101657462260
943620228406623
1011210112001200
1136321aaa832a2
1213107179b2040
136341556b6898
142aa8026129a0
15146902762050
hexa320ebe64b0

11210112001200 has 480 divisors, whose sum is σ = 43305544537600. Its totient is φ = 2421503631360.

The previous prime is 11210112001183. The next prime is 11210112001243. The reversal of 11210112001200 is 210021101211.

It is a super-2 number, since 2×112101120012002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65190534 + ... + 65362266.

Almost surely, 211210112001200 is an apocalyptic number.

11210112001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210112001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21652772268800).

11210112001200 is an abundant number, since it is smaller than the sum of its proper divisors (32095432536400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11210112001200 is a wasteful number, since it uses less digits than its factorization.

11210112001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172189 (or 172178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11210112001200 its reverse (210021101211), we get a palindrome (11420133102411).

The spelling of 11210112001200 in words is "eleven trillion, two hundred ten billion, one hundred twelve million, one thousand, two hundred".